GCF and LCM Calculator Logo

What is the Least Common Multiple of 66652 and 66663?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 66652 and 66663 is 4443222276.

LCM(66652,66663) = 4443222276

LCM Calculator and
and

Least Common Multiple of 66652 and 66663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66652 and 66663, than apply into the LCM equation.

GCF(66652,66663) = 1
LCM(66652,66663) = ( 66652 × 66663) / 1
LCM(66652,66663) = 4443222276 / 1
LCM(66652,66663) = 4443222276

Least Common Multiple (LCM) of 66652 and 66663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66652 and 66663. First we will calculate the prime factors of 66652 and 66663.

Prime Factorization of 66652

Prime factors of 66652 are 2, 19, 877. Prime factorization of 66652 in exponential form is:

66652 = 22 × 191 × 8771

Prime Factorization of 66663

Prime factors of 66663 are 3, 823. Prime factorization of 66663 in exponential form is:

66663 = 34 × 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 66652 and 66663.

LCM(66652,66663) = 22 × 191 × 8771 × 34 × 8231
LCM(66652,66663) = 4443222276